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Finding the Third Proportional to 336,710 and 561,117

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Solution

The third proportional to 336,710 and 561,117 is: 935,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,710 : 561,117 = 561,117 : x
  2. Step 2: Convert to fraction form
    336,710/561,117 = 561,117/x
  3. Step 3: Cross multiply
    336,710x = 561,117 × 561,117
  4. Step 4: Simplify right side
    336,710x = 314,852,287,689
  5. Step 5: Solve for x
    x = 314,852,287,689/336,710
  6. Step 6: Final answer
    x = 935,084.46

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.